%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO227+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 01:38:40 PM UTC 2025
% Result : Theorem 5.87s 1.07s
% Output : CNFRefutation 5.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 9 |; 2 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 20 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [L,M] :
~ ( equally_directed_lines(L,M)
& equally_directed_opposite_lines(L,M) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [L,M] :
~ ( equally_directed_lines(L,M)
& equally_directed_opposite_lines(L,M) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(66,plain,
equally_directed_lines(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
equally_directed_lines(sK1,sK2),
inference(instantiation,[status(thm)],[66]) ).
fof(a4_defns,plain,
! [X,Y] :
( equally_directed_lines(X,Y)
<=> ~ unequally_directed_lines(X,Y) ),
file('Axioms/GEO009+0.ax',a4_defns) ).
cnf(6,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(cnf,[status(esa)],[a4_defns]) ).
cnf(l1,plain,
( ~ unequally_directed_lines(sK1,sK2)
| ~ equally_directed_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[6]) ).
fof(ax8_basics,plain,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
file('Axioms/GEO009+0.ax',ax8_basics) ).
cnf(43,plain,
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf,[status(esa)],[ax8_basics]) ).
cnf(l2,plain,
( unequally_directed_lines(sK1,sK2)
| unequally_directed_lines(sK1,reverse_line(sK2)) ),
inference(instantiation,[status(thm)],[43]) ).
fof(a1_defns,plain,
! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
<=> unequally_directed_lines(X,reverse_line(Y)) ),
file('Axioms/GEO009+0.ax',a1_defns) ).
cnf(1,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf,[status(esa)],[a1_defns]) ).
cnf(l7,plain,
( ~ unequally_directed_lines(sK1,reverse_line(sK2))
| unequally_directed_opposite_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[1]) ).
fof(a5_defns,plain,
! [X,Y] :
( equally_directed_opposite_lines(X,Y)
<=> ~ unequally_directed_opposite_lines(X,Y) ),
file('Axioms/GEO009+0.ax',a5_defns) ).
cnf(8,plain,
( ~ unequally_directed_opposite_lines(X0,X1)
| ~ equally_directed_opposite_lines(X0,X1) ),
inference(cnf,[status(esa)],[a5_defns]) ).
cnf(l30,plain,
( ~ unequally_directed_opposite_lines(sK1,sK2)
| ~ equally_directed_opposite_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(67,plain,
equally_directed_opposite_lines(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l40,plain,
equally_directed_opposite_lines(sK1,sK2),
inference(instantiation,[status(thm)],[67]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l7,l30,l40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO227+3 : TPTP v9.0.0. Released v4.0.0.
% 0.00/0.08 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.26 % Computer : n025.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Sun Jul 20 11:46:34 EDT 2025
% 0.06/0.26 % CPUTime :
% 0.06/0.27 % launching worker at depth: 1
% 0.06/0.27 % launching worker at depth: 5
% 0.06/0.27 % launching worker at depth: 6
% 0.06/0.27 % launching worker at depth: 2
% 0.06/0.27 % launching worker at depth: 4
% 0.06/0.27 % launching worker at depth: 3
% 0.06/0.27 % launching worker at depth: 7
% 0.06/0.27 % launching worker at depth: 8
% 0.06/0.27 % launching worker at depth: 9
% 0.06/0.27 % launching worker at depth: 10
% 0.06/0.27 % launching worker at depth: 11
% 0.06/0.29 % launching worker at depth: 12
% 5.87/1.07 % SZS status Theorem for theBenchmark
% 5.87/1.07 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------